Solve: 1/3a^2 - 1/a = 1:6a^2
The solution is a =

Let's solve your equation step-by-step.

1

3

a2−

1

a

=1

1

3

a2+

−1

a

=1

Multiply all terms by a and cancel:

(

1

3

a2)(a)+−1=1a

1

3

a3−1=a(Simplify both sides of the equation)

1

a3−1−a=a−a(Subtract x from both sides)

1

3

a3−a−1=0

(Use cubic formula)

a=2.103803

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92